Latest Research in Numerical Analysis

Top Research Topics in Numerical Analysis

• Numerical Analysis — 13 papers
• Composite Structure Analysis and Optimization — 4 papers
• Cellular and Composite Structures — 3 papers
• Contact Mechanics and Variational Inequalities — 2 papers
• Computational Engineering, Finance, and Science — 2 papers
• Soft Condensed Matter — 2 papers
• Topology Optimization in Engineering — 2 papers
• Analysis of PDEs — 2 papers
• Dynamics and Control of Mechanical Systems — 1 papers
• Mathematical Physics — 1 papers

Highest-Cited Papers

1. Mixed double-hemivariational analysis of piezoelectric contact with multiplier-coupled nonmonotone friction
2. Deterministic Symplectic Idempotent Multi-Physics Finite Element Solvers: Metric Acceleration Projection Beyond Newton-Raphson, Penalty, and AMG Iterations
3. Validating Hexahedra through their Boundaries
4. An interior penalty nonconforming finite element method for strain gradient elasticity
5. Eversion Buckling of Toroidal Shells: Mechanism, Bifurcation, and Applications in Energy Absorption
6. Bending analysis of circular plates under a refined Lord–Shulman fractional theory with variable thermal conductivity
7. A ROM-based BDDC solver for unfitted p-FEM level-set-based two-dimensional lattice structures
8. Conforming/nonconforming virtual elements and application to elasticity problems in curved three-dimensional domains
9. Unusual volumetric behavior of low-density open-porous materials
10. Localized maximum-norm error estimates for the Hellan-Herrmann-Johnson method
11. Design- and Voxel-Based Analysis of a Topology–Density Dual-Gradient TPMS Absorber for Impact-Load Mitigation
12. A Structure-Preserving Symmetric Galerkin Boundary Element Method for Anisotropic Multi-phase Mullins-Sekerka Flow
13. Semigroup well-posedness and exponential decay of a viscoelastic bilateral contact model with Tresca’s law and infinite memory
14. Finite element analysis-based flatness control and bending force optimization strategy for high rolling force conditions
15. A variational physics-informed graph neural network for heterogeneous solid mechanics
16. Geometric Multigrid solvers for Hybrid High-Order methods on polytopal meshes
17. An Overview: Ordinary and Partial Differential Equations of Fractional Order on Examples in the Dynamics of Rheological Systems
18. A stiffness-invariant fractional-viscoelastic model for bounded load transfer in elastic-constrained solid composites
19. Data-efficient Bayesian-guided design selection from large candidate sets: Application to hyperelastic stochastic metamaterials
20. A thermomechanical framework for strongly nonlocal continua